What is 0.0050 as a fraction in simplest form.

Answer: 0.0050 as a fraction is 1/200

Converting the decimal number 0.0050 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.

Step 1: Understand the Decimal

The decimal 0.0050 can be broken down as:

0.0050 = 0 + 0.005


Here, 0 is the whole number part, and 0.005 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.005, to a fraction. To do this, consider the place value of the decimal:

0.005 =

5

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 5/1000. To do this, find the greatest common divisor (GCD) of 5 and 1000.

Now, divide both the numerator and the denominator by their GCD:


5 ÷ 5

1000 ÷ 5

=

1

200



So, 0.005 as a fraction is 1/200


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0050 = 0 + 0.005, express the entire number as a mixed fraction:

0.0050

= 0 +

1

200

=

0

200

+

1

200

=

1

200



Here, 0/200 is the whole number 0, and 1/200 is the fractional part.



Final Result: Fraction Form of 0.0050 After simplifying, we get the final fraction:

Answer: 0.0050 = 1/200



Conclusion

Converting 0.0050 to a fraction results in 1/200. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.

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